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Finding the Third Proportional to 138,769,761,175.50 and 187,232,990,208

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Solution

The third proportional to 138,769,761,175.50 and 187,232,990,208 is: 252,621,265,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769,761,175.50 : 187,232,990,208 = 187,232,990,208 : x
  2. Step 2: Convert to fraction form
    138,769,761,175.50/187,232,990,208 = 187,232,990,208/x
  3. Step 3: Cross multiply
    138,769,761,175.50x = 187,232,990,208 × 187,232,990,208
  4. Step 4: Simplify right side
    138,769,761,175.50x = 35,056,192,622,229,022,834,688
  5. Step 5: Solve for x
    x = 35,056,192,622,229,022,834,688/138,769,761,175.50
  6. Step 6: Final answer
    x = 252,621,265,074.41

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.